Question

The slope of a line is 2/3

What is the slope of a line that is perpendicular to it?

-3/2
-2/3
3/2
3/2

Answer 1

if the slope of the line is 2/3, then the perpendicular is the negative reciprocal

\[m _{1} = \frac{2}{3} .... m _{2} = -\frac{3}{2}\]

the slopes must follow the rule

\[m _{1} \times m _{2} = -1\]